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Mar 12, 2021 at 22:54 comment added Maarten Derickx p.s. For those who just want a nice description of what is going on with elliptic curves and don't want to specialize the AV story to EC's I found this article doi.org/10.2969/aspm/03010161 by Peter Stevenhagen particularly well written.
Apr 21, 2014 at 2:21 history bounty ended Pete L. Clark
Apr 15, 2014 at 18:08 comment added Pete L. Clark "I guess everything was already known by Deuring." I am almost sure of that; what I wonder is how much of this was already known by Weber. In any case, it is un/fortunately quite true that many things which were already known to the great mathematicians of the 19th and early 20th centuries are nevertheless not known to me. :) (To be more honest: in this case I think I am being a little lazy. I was quite sure that the result I was asking about was true, and if necessary I think I could have made appropriate modifications in the proofs I knew. But I didn't want to...)
Apr 15, 2014 at 11:55 history edited Damien Robert CC BY-SA 3.0
Correct a typo where I used $O_K$ instead of $O$.
Apr 15, 2014 at 11:04 comment added Damien Robert Well all credits should go to Shimura for proving all the results (but for elliptic curves I guess everything was already known by Deuring!), and Streng for a nice exposition.
Apr 14, 2014 at 22:12 comment added Pete L. Clark Thanks very much for your answer. This will actually be used for a paper that the OP and I are writing together, so in the near future I'll look up the reference in detail. I certainly intend to award you the bounty.
Apr 14, 2014 at 19:41 vote accept abourdon
Apr 14, 2014 at 12:17 history answered Damien Robert CC BY-SA 3.0